Eugene O'Riordan
Eugene O'Riordan
School of Mathematical Sciences, Dublin City University
Verified email at dcu.ie
Title
Cited by
Cited by
Year
Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions
JJH Miller, E O'Riordan, GI Shishkin
World Scientific, 2012
15072012
Robust Computational Techniques for Boundary Layers.
PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin
Chapman-Hall/CRC, New York, 2000
9212000
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation
M Stynes, E O'Riordan, JL Gracia
SIAM Journal on Numerical Analysis 55 (2), 1057-1079, 2017
1982017
A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
M Stynes, E O'Riordan
Journal of mathematical analysis and applications 214 (1), 36-54, 1997
1331997
A numerical method for a system of singularly perturbed reaction–diffusion equations
S Matthews, E O'Riordan, GI Shishkin
Journal of Computational and Applied Mathematics 145 (1), 151-166, 2002
1092002
Fitted mesh methods for problems with parabolic boundary layers
JJH Miller, E O'Riordan, GI Shishkin, LP Shishkina
Mathematical Proceedings of the Royal Irish Academy, 173-190, 1998
951998
A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem
E O’Riordan, M Stynes
Mathematics of Computation 47 (176), 555-570, 1986
951986
A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
E O’Riordan, M Stynes
Mathematics of computation 57 (195), 47-62, 1991
901991
A parameter robust numerical method for a two dimensional reaction-diffusion problem
C Clavero, J Gracia, E O’Riordan
Mathematics of Computation 74 (252), 1743-1758, 2005
852005
Shishkin meshes in the numerical solution of singularly perturbed differential equations
N Kopteva, E O'Riordan
Institute for Scientific Computing and Informaton, 2010
822010
Singularly perturbed convection–diffusion problems with boundary and weak interior layers
PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin
Journal of Computational and Applied Mathematics 166 (1), 133-151, 2004
782004
On piecewise-uniform meshes for upwind-and central-difference operators for solving singularly perturbed problems
JJH Miller, E O'riordan, GI Shishkin
IMA journal of numerical analysis 15 (1), 89-99, 1995
771995
Singularly perturbed differential equations with discontinuous source terms
PA Farrell, JJH Miller, E O’Riordan, GI Shishkin
Analytical and Numerical Methods for Convection-Dominated and Singularly …, 2000
702000
A parameter robust second order numerical method for a singularly perturbed two-parameter problem
JL Gracia, E O'Riordan, ML Pickett
Applied Numerical Mathematics 56 (7), 962-980, 2006
682006
A finite element method for a singularly perturbed boundary value problem
M Stynes, E O'Riordan
Numerische Mathematik 50 (1), 1-15, 1986
671986
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin
Mathematical and Computer Modelling 40 (11-12), 1375-1392, 2004
652004
A parameter robust numerical method for a system of two singularly perturbed convection–diffusion equations
S Bellew, E O'Riordan
Applied Numerical Mathematics 51 (2-3), 171-186, 2004
632004
Singularly perturbed problems modeling reaction-convection-diffusion processes
E O'Riordan, ML Pickett, GI Shishkin
Computational Methods in Applied Mathematics 3 (3), 424-442, 2003
592003
A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation
PA Farrell, JJH Miller, E O’Riordan, GI Shishkin
SIAM Journal on Numerical Analysis 33 (3), 1135-1149, 1996
561996
Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin
Journal of Computational Physics 117 (1), 47-54, 1995
531995
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